| 序半群的正则同余类的注记 |
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| 引用本文： | 谢祥云. 序半群的正则同余类的注记[J]. 兰州大学学报(自然科学版), 1999, 35(1): 30-33 |
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| 作者姓名： | 谢祥云 |
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| 作者单位： | 五邑大学数理系 |
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| 基金项目： | 国家自然科学基金,广东省自然科学基金 |
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| 摘 要： | 什么样的子集可以作为一个 序半群的正则同余的同余类仍是一个公开问题。Ｋｅｈａｙｏｐｕｌｕ和Ｔｓｉｎｇｅｌｉｓ给出了什么样的子集可以作为序半群的某修正在则半各同余的同余类。继他们之后，本证明了序半群Ｓ的半群结构上的理想Ｃ是Ｓ是正则同余类的充分必要条件为Ｃ是凸集。
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| 关 键 词： | 序半群 理想 正则同余 同余类 |
Remarks on Regular Congruence Classes of Ordered Semigroups |
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| Xie Xiangyun. Remarks on Regular Congruence Classes of Ordered Semigroups[J]. Journal of Lanzhou University(Natural Science), 1999, 35(1): 30-33 |
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| Authors: | Xie Xiangyun |
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| Abstract: | What subsets of an ordered semigroup S can serve as a congruence class of certain regular congruence on S is still an open problem to be solved. Kehayopulu and Tsingeles have given out a characterization whose subsets of S are a congruence class of some regular semilattice congruence on S . The aim of this paper is to prove that an ideal C of an ordered semigroup S on its semigroup structure can serve as a class of some regular congruences on S if and only if C is convex. |
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| Keywords: | ordered semigroup ideal regular congruence congruence class |
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